Finding the Third Proportional to 6,782.25 and 10,166.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,782.25 : 10,166.25 = 10,166.25 : x
2. Step 2: Convert to fraction form
   6,782.25/10,166.25 = 10,166.25/x
3. Step 3: Cross multiply
   6,782.25x = 10,166.25 × 10,166.25
4. Step 4: Simplify right side
   6,782.25x = 103,352,639.06
5. Step 5: Solve for x
   x = 103,352,639.06/6,782.25
6. Step 6: Final answer
   x = 15,238.69